Informal Statements
Informal Statement 5 or 6 : All angles are equal.
Right/Straight
Axiom 7: The whole is greater than .
Any of its parts
Corollary 1-1: When are two right triangles congruent?
If the two legs of one triangle are equal respectively to the two legs of the other (L.L.)
A chord
Two angles that are complementary to the same angle or equal angles are to each other.
Equal
Informal statement 2: Two straight lines can intersect .
At only one point
What does the substitution axiom state?
A quantity may be substituted for its equal in any process.
Corresponding parts of congruent triangles are equal
A pre-proof planning of how to complete a proof.
Analysis
If the sum of two adjacent angles is a straight angle, they are angles.
Supplementary
Informal Statement 14: The sum of two sides of a triangle is than the third side.
Greater
The shortest line that can be drawn between two points....
A Straight line
What are added lines in a diagram used to aid in solving proofs?
Auxillary Lines
A geometric statement that is easily deduced from a theorem.
Corollary
A geometric assumption accepted without proof to be true.
Postulate
Informal Statement 10: The sum of all angles about a point through the point is a straight angle.
On one side of a straight angle
If equals are added to equals, the are equal.
Sums
Process of reasoning that establishes the truth of a theorem or the correctness of a construction is called a(n) .
Proof/Demonstration
A figure that satisfies given conditions and is drawn without instruments of measurement.
Construction
A radius of a circle is equal to half the length of the .
Diameter
A line can be bisected by but one .
Point
Remainders
Two geometric shapes that have the same size and shape....
Congruent figures
A geometric statement that is not self-evident but proven by a chain of reasoning.
Theorem
In two congruent parts, the equal parts are called the parts.
Corresponding